Abstract
In this paper, the exact traveling wave solutions of the Zhiber–Shabat equation and the related equations: Liouville equation, Dodd–Bullough–Mikhailov (DBM) equation, sinh–Gordon equation, and Tzitzeica–Dodd–Bullough (TDB) equation are studied by using the ( G ′ G )-expansion method. Solitons and periodic solutions for these equations are formally derived.
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